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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 533 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.3 : 7 = 9 : ?
  2. 2.5 : 13 = 35 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  4. 4.Divide ₹102 between Nisha and Meera in the ratio 1 : 5. How much does Nisha get (in ₹)?
  5. 5.Divide ₹297 between Aarav and Diya in the ratio 2 : 7. How much does Aarav get (in ₹)?
  6. 6.Divide ₹644 between Rahul and Saanvi in the ratio 9 : 5. How much does Rahul get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  8. 8.8 : 2 = 56 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.4 : 8 = 16 : ?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.Divide ₹360 between Dev and Pooja in the ratio 9 : 1. How much does Dev get (in ₹)?
  18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  19. 19.Divide ₹304 between Isha and Tara in the ratio 5 : 3. How much does Isha get (in ₹)?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.3 : 9 = 15 : ?
  22. 22.Divide ₹248 between Saanvi and Meera in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  24. 24.9 : 14 = 27 : ?
  25. 25.Divide ₹798 between Dev and Diya in the ratio 5 : 9. How much does Diya get (in ₹)?
  26. 26.3 : 12 = 18 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  28. 28.Divide ₹637 between Tara and Dev in the ratio 4 : 9. How much does Tara get (in ₹)?
  29. 29.12 : 13 = 72 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  32. 32.10 : 14 = 60 : ?
  33. 33.Divide ₹42 between Diya and Ananya in the ratio 1 : 6. How much does Diya get (in ₹)?
  34. 34.Divide ₹165 between Karan and Diya in the ratio 2 : 1. How much does Karan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  36. 36.7 : 11 = 63 : ?
  37. 37.Divide ₹318 between Aditya and Karan in the ratio 5 : 1. How much does Aditya get (in ₹)?
  38. 38.Divide ₹44 between Sneha and Nisha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  39. 39.Divide ₹459 between Ishaan and Sneha in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  40. 40.6 : 13 = 30 : ?

Answer key

  1. 21
  2. 91
  3. 56
  4. 17
  5. 66
  6. 414
  7. 6
  8. 14
  9. 56
  10. 45
  11. 32
  12. 100
  13. 10
  14. 32
  15. 50
  16. 50
  17. 324
  18. 200
  19. 190
  20. 12
  21. 45
  22. 217
  23. 16
  24. 42
  25. 513
  26. 72
  27. 36
  28. 196
  29. 78
  30. 35
  31. 49
  32. 84
  33. 6
  34. 110
  35. 72
  36. 99
  37. 265
  38. 33
  39. 51
  40. 65

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